Finding the Third Proportional to 126.09 and 281.72

Step by Step Solution

1. Step 1: Write the proportion equation
   126.09 : 281.72 = 281.72 : x
2. Step 2: Convert to fraction form
   126.09/281.72 = 281.72/x
3. Step 3: Cross multiply
   126.09x = 281.72 × 281.72
4. Step 4: Simplify right side
   126.09x = 79,365.45
5. Step 5: Solve for x
   x = 79,365.45/126.09
6. Step 6: Final answer
   x = 629.42